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Finding the Fourth Proportional to 65.37, 98.08 and 61.26

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Solution

The fourth proportional to 65.37, 98.08 and 61.26 is: 91.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.37 : 98.08 = 61.26 : x
  2. Step 2: Convert to fraction form
    65.37/98.08 = 61.26/x
  3. Step 3: Cross multiply
    65.37x = 98.08 × 61.26
  4. Step 4: Simplify right side
    65.37x = 6,007.86
  5. Step 5: Solve for x
    x = 6,007.86/65.37
  6. Step 6: Final answer
    x = 91.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.